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Finding the Fourth Proportional to 20,452.40, 30,678.60 and 12,141.80

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Solution

The fourth proportional to 20,452.40, 30,678.60 and 12,141.80 is: 18,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.40 : 30,678.60 = 12,141.80 : x
  2. Step 2: Convert to fraction form
    20,452.40/30,678.60 = 12,141.80/x
  3. Step 3: Cross multiply
    20,452.40x = 30,678.60 × 12,141.80
  4. Step 4: Simplify right side
    20,452.40x = 372,493,425.48
  5. Step 5: Solve for x
    x = 372,493,425.48/20,452.40
  6. Step 6: Final answer
    x = 18,212.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.